Questions: The following frequency distribution represents the scores on a math test. Find the class midpoint of scores for the interval 40-59. Scores Number of Students ------ 0-19 2 20-39 4 40-59 6 60-79 15 80-99 5 A. 49.5 B. 49.0 C. 50.5 D. 48.5

The following frequency distribution represents the scores on a math test. Find the class midpoint of scores for the interval 40-59. Scores Number of Students ------ 0-19 2 20-39 4 40-59 6 60-79 15 80-99 5 A. 49.5 B. 49.0 C. 50.5 D. 48.5
Transcript text: The following frequency distribution represents the scores on a math test. Find the class midpoint of scores for the interval 40-59. \begin{tabular}{cc} Scores & \begin{tabular}{c} Number of \\ Students \end{tabular} \\ $0-19$ & 2 \\ $20-39$ & 4 \\ $40-59$ & 6 \\ $60-79$ & 15 \\ $80-99$ & 5 \end{tabular} A. 49.5 B. 49.0 C. 50.5 D. 48.5
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Solution

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Solution Steps

Step 1: Identify the Lower and Upper Bounds

The lower bound (L) is given as 40, and the upper bound (U) is given as 59.

Step 2: Apply the Class Midpoint Formula

The class midpoint is calculated using the formula: $$ \text{Class Midpoint} = \frac{L + U}{2} $$ Substituting the given values, we get: $$ \text{Class Midpoint} = \frac{40 + 59}{2} = 49.5 $$

Final Answer:

The class midpoint for the interval [40, 59] is 49.5, rounded to 1 decimal places.

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